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Some novel concepts of intuitionistic fuzzy directed graphs with application in selecting a suitable place for opening restaurant. [PDF]
HeliyonKhan WA +7 more
europepmc +1 more source
Fuzzy Sets and Systems, 1986 By an intuitionistic fuzzy set (IFS) the author understands a pair of generalized characteristic functions and hence a generalization of a fuzzy set. These two functions for each point of the universe of discourse describe separately its degrees of membership and of nonmembership with respect to the IFS they characterize.
Krassimir Atanassov
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Intuitionistic fuzzy generators Application to intuitionistic fuzzy complementation
Fuzzy Sets and Systems, 2000The concept of an intuitionistic fuzzy generator \(\varphi: [0,1]\to[0,1]\) is introduced by \(\varphi(x)\leq 1-x\) for all \(x\in[0,1]\). It can be continuous, decreasing or increasing. Some properties of the new concept are studied and characterization theorems for it are proved. One of the most important results is: Theorem 25.
Humberto Bustince +2 more
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Intuitionistic fuzzy logic and intuitionistic fuzzy set theory
Journal of Symbolic Logic, 1984In 1965 Zadeh introduced the concept of fuzzy sets. The characteristic of fuzzy sets is that the range of truth value of the membership relation is the closed interval [0, 1] of real numbers. The logical operations ⊃, ∼ on [0, 1] which are used for Zadeh's fuzzy sets seem to be Łukasiewciz's logic, where p ⊃ q = min(1, 1 − p + q), ∼ p = 1 − p. L.
Gaisi Takeuti, Satoko Titani
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Intuitionistic fuzzy recognizers and intuitionistic fuzzy finite automata
Soft Computing, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaowei Zhang, Yongming Li 0001
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Fuzzy Sets and Systems, 1993
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Atanassov, Krassimir, Georgiev, Christo
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Atanassov, Krassimir, Georgiev, Christo
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On intuitionistic fuzzy lattices
2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2015In this paper, inspired by the concept of intuitionistic fuzzy lattices previously introduced by Thomas and Nair, we introduce the notion of intuitionistic fuzzy complete lattice and investigate some of its basic properties. In particular, some interesting characterizations closely related to the intuitionistic fuzzy complete lattices are given.
Lemnaouar Zedam, Ewa Rak, Soheyb Milles
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Intuitionistic fuzzy value similarity measures for intuitionistic fuzzy sets
Computational and Applied Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zichun Chen, Penghui Liu
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Journal of Intelligent & Fuzzy Systems, 2017
In this paper, we will define intuitionistic fuzzy matroid and study their properties. First, we analyse the two approaches to fuzzification of matroids and decide to use an indirect approach. After some preliminaries, we define an intuitionistic fuzzy matroid as a prefect intuitionistic fuzzy pre-matroid.
Xiaonan Li, Huangjian Yi
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In this paper, we will define intuitionistic fuzzy matroid and study their properties. First, we analyse the two approaches to fuzzification of matroids and decide to use an indirect approach. After some preliminaries, we define an intuitionistic fuzzy matroid as a prefect intuitionistic fuzzy pre-matroid.
Xiaonan Li, Huangjian Yi
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